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One variable is not enough for defining relation algebras, but two are

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Abstract

We prove that relation algebras cannot be denned with one variable over the class of semi-associative relation algebras, while it can be defined with equations using two variables, over the class of all Boolean algebras.

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Authors and Affiliations

  1. Mathematical Institute of the Hungarian, Academy of Sciences, Budapest, Hungary

    H. Andréka

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  1. H. Andréka
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Research supported by Hungarian National Foundation for Scientific Research grant No. 1810.

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Andréka, H. One variable is not enough for defining relation algebras, but two are. Algebra Universalis 28, 274–279 (1991). https://doi.org/10.1007/BF01190856

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  • DOI: https://doi.org/10.1007/BF01190856

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